Least Common Multiple (LCM) of 149 and 165
The least common multiple (LCM) of 149 and 165 is 24585.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 149 and 165?
First, calculate the GCD of 149 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 165 = 0 remainder 149 |
| 2 | 165 ÷ 149 = 1 remainder 16 |
| 3 | 149 ÷ 16 = 9 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 104 | 6968 |
| 138 and 114 | 2622 |
| 48 and 30 | 240 |
| 19 and 189 | 3591 |
| 189 and 27 | 189 |